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Finding the Fourth Proportional to 11,138.80, 15,372.36 and 6,423.76

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Solution

The fourth proportional to 11,138.80, 15,372.36 and 6,423.76 is: 8,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.80 : 15,372.36 = 6,423.76 : x
  2. Step 2: Convert to fraction form
    11,138.80/15,372.36 = 6,423.76/x
  3. Step 3: Cross multiply
    11,138.80x = 15,372.36 × 6,423.76
  4. Step 4: Simplify right side
    11,138.80x = 98,748,351.27
  5. Step 5: Solve for x
    x = 98,748,351.27/11,138.80
  6. Step 6: Final answer
    x = 8,865.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.